3411975611376 has 1200 divisors, whose sum is σ = 11460000465408. Its totient is φ = 977163264000.

The previous prime is 3411975611347. The next prime is 3411975611377. The reversal of 3411975611376 is 6731165791143.

3411975611376 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 9 + 7 + 561 + 1 + 3 + 76 = 666.

It is a super-2 number, since 2×3411975611376² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3411975611377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 22595864901 + ... + 22595865051.

Almost surely, 2^{3411975611376} is an apocalyptic number.

3411975611376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3411975611376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730000232704).

3411975611376 is an abundant number, since it is smaller than the sum of its proper divisors (8048024854032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3411975611376 is a wasteful number, since it uses less digits than its factorization.

3411975611376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 300 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 3411975611376 in words is "three trillion, four hundred eleven billion, nine hundred seventy-five million, six hundred eleven thousand, three hundred seventy-six".